#### Answer

$\frac{1}{x-3}$

#### Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor.
Use the the factorization to find the GCF.
$\frac{x+2}{x^2-x-6}=\frac{(x+2)}{(x+2)(x-3)}=\frac{(x+2)\div(x+2)}{(x+2)(x-3)\div(x+2)}=\frac{1}{x-3}$